Identify the appropriate test statistic write ztest or t test

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Identify the appropriate test statistic write ztest or t test
4. The CEO of a battery manufacturing company claimed that
their batteries would last an average of 280 hours under normal use. A
researcher randomly selected 20 batteries from the production line and
tested them. The tested batteries had a mean life span of 250 hours with a
standard deviation of 40 hours. Do we have enough evidence to suggest that
the claim of an average of 280 hours is false?
5. It was known that the number of tickets purchased by
students at the ticket window for the volleyball match of two popular
universities followed a distribution that has mnean of 500 and standard
deviation of 8.9. Suppose that a few hours before the start of one of these
matches, there are 100 eager students standing in line to purchase tickets.
If there are 250 tickets remaining, what is the probability that all 100
students will be able to purchase the tickets they want?
Transcribed Image Text:4. The CEO of a battery manufacturing company claimed that their batteries would last an average of 280 hours under normal use. A researcher randomly selected 20 batteries from the production line and tested them. The tested batteries had a mean life span of 250 hours with a standard deviation of 40 hours. Do we have enough evidence to suggest that the claim of an average of 280 hours is false? 5. It was known that the number of tickets purchased by students at the ticket window for the volleyball match of two popular universities followed a distribution that has mnean of 500 and standard deviation of 8.9. Suppose that a few hours before the start of one of these matches, there are 100 eager students standing in line to purchase tickets. If there are 250 tickets remaining, what is the probability that all 100 students will be able to purchase the tickets they want?
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